Use permutations and combinations to compute probabilities

What you'll learn

1. Apply the Fundamental Counting Principle to count the outcomes of a multi-stage process
2. Distinguish situations where order matters (permutations) from those where it does not (combinations)
3. Compute permutations, nPr = n! / (n - r)!, and combinations, nCr = n! / (r!(n - r)!)
4. Use permutations and combinations to count favorable and total outcomes and compute probabilities of compound events
5. Solve real-world counting and probability problems, such as lotteries, committees, and arrangements

Prerequisites

• Describe events as subsets of a sample space
• Find conditional probability from a model